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Simplifying 4p + 2 + -2(3p + 8) = 5p Reorder the terms: 4p + 2 + -2(8 + 3p) = 5p 4p + 2 + (8 * -2 + 3p * -2) = 5p 4p + 2 + (-16 + -6p) = 5p Reorder the terms: 2 + -16 + 4p + -6p = 5p Combine like terms: 2 + -16 = -14 -14 + 4p + -6p = 5p Combine like terms: 4p + -6p = -2p -14 + -2p = 5p Solving -14 + -2p = 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -14 + -2p + -5p = 5p + -5p Combine like terms: -2p + -5p = -7p -14 + -7p = 5p + -5p Combine like terms: 5p + -5p = 0 -14 + -7p = 0 Add '14' to each side of the equation. -14 + 14 + -7p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7p = 0 + 14 -7p = 0 + 14 Combine like terms: 0 + 14 = 14 -7p = 14 Divide each side by '-7'. p = -2 Simplifying p = -2
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